Titlebook: Solutions of Nonlinear Schrӧdinger Systems; Zhijie Chen Book 2015 Springer-Verlag Berlin Heidelberg 2015 Bose-Einstein Condensates.ground

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,A Linearly Coupled Schrödinger System with Critical Exponent,istence, nonexistence, and asymptotic behaviors. Moreover, our result on the parameter range for the existence and nonexistence is almost .. Our proof is purely variational, and the key step is to establish accurate upper bounds of the least energy.

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A BEC System with Dimensions ,: Ground State Solutions,d state solutions can be investigated as a corollary. We also prove a nonexistence result about positive solutions. These results answer partially some open questions raised by Ambrosetti, Colorado and Sirakov. Our proof is mainly applying asymptotic analysis together with the classical bifurcation theory.

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Zhijie Chenment or their host. QS relies upon the production, accumulation and perception of small diffusable molecules by the bacterial population, hence linking high gene expression with high cell population densities. Among the different QS signal molecules, an important class of signal molecules is the .-a

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Zhijie Chencreening is based on the functional analyses of heterologously expressed environmental genes in a suitable host, which is the bottleneck of this method. To avoid limitation from the clone-dependent system, an in vitro expression technology has been developed in combination with next-generation seque

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